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Finding the Fourth Proportional to 5,405, 8,107.50 and 1,757

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Solution

The fourth proportional to 5,405, 8,107.50 and 1,757 is: 2,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405 : 8,107.50 = 1,757 : x
  2. Step 2: Convert to fraction form
    5,405/8,107.50 = 1,757/x
  3. Step 3: Cross multiply
    5,405x = 8,107.50 × 1,757
  4. Step 4: Simplify right side
    5,405x = 14,244,877.50
  5. Step 5: Solve for x
    x = 14,244,877.50/5,405
  6. Step 6: Final answer
    x = 2,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.